小波理论在进行信号处理与函数逼近时体现出非常独特的时频局部性与多分辨分析能力,
小波基函数则可兼具正交性, 紧支性, 低通滤波与插值性等优良的数学性质 …

The quantitative study of many physical problems ultimately boils down to solving various
partial differential equations (PDEs). Wavelet analysis, known as the “mathematical …

In this paper, we present an efficient numerical algorithm for approximate solutions of higher-
order boundary value problems with two-point boundary conditions. A modified form of the …

In this paper, we apply the variational iteration method using He's polynomials (VIMHP) for
solving the higher-order boundary value problems. The proposed method is an elegant …

This paper is dedicated to implementing and presenting numerical algorithms for solving
some linear and nonlinear even-order two-point boundary value problems. For this purpose …

The numerical solution of fifth-order, nonlinear boundary-value problems with two-point
boundary conditions is considered. A sixth-degree B-spline approximation is used to …

In this paper, the approximate solutions to the eighth-order boundary-value problems are
presented using the reproducing kernel space method. The procedure is applied on both …

High‐order central finite difference schemes encounter great difficulties in implementing
complex boundary conditions. This paper introduces the matched interface and boundary …

Special cases of linear eighth-order boundary-value problems have been solved using
polynomial splines. However, divergent results were obtained at points adjacent to …

In this manuscript, extension of residual power series method (RPSM) is proposed for
ordinary differential equations with boundary conditions. The extended algorithm is tested …